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math.AG2022
On the Weak Lefschetz Property for height four equigenerated complete intersections
Mats Boij, Juan Migliore, Rosa M. Miró-Roig +1
We consider the conjecture that all artinian height 4 complete intersections of forms of the same degree have the Weak Lefschetz Property (WLP). We translate this problem to on…
math.AG2019
A bound for the Waring rank of the determinant via syzygies
Mats Boij, Zach Teitler
We show that the Waring rank of the determinant, previously known to be between and , is at least . We use syzygies of the apolar ideal, which have not be…
math.AG2010★ 1 cited
Monomials as sums of powers: the Real binary case
Mats Boij, Enrico Carlini, Anthony V. Geramita
We generalize an example, due to Sylvester, and prove that any monomial of degree in , which is not a power of a variable, cannot be written as a linear co…